Pith Number

pith:HNT4JOIQ

pith:2015:HNT4JOIQAJSAENDQFNIS2ME5JD

not attested not anchored not stored refs pending

Geometric Space-Frequency Analysis on Manifolds

Hans G. Feichtinger, Hartmut F\"uhr, Isaac Z. Pesenson

arxiv:1512.08668 v2 · 2015-12-29 · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HNT4JOIQAJSAENDQFNIS2ME5JD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:23:33.190151Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b67c4b91002640234702b512d309d48f9a50f8446a320bb92d34c82fa2c3110

Aliases

arxiv: 1512.08668 · arxiv_version: 1512.08668v2 · doi: 10.48550/arxiv.1512.08668 · pith_short_12: HNT4JOIQAJSA · pith_short_16: HNT4JOIQAJSAENDQ · pith_short_8: HNT4JOIQ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/HNT4JOIQAJSAENDQFNIS2ME5JD \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3b67c4b91002640234702b512d309d48f9a50f8446a320bb92d34c82fa2c3110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "736a867360dfcd841a41c895e2c52ee90c0f57350d651a9f216de7fd548d53e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-29T12:47:39Z",
    "title_canon_sha256": "5ba0790184cfe8925e7d4a1b4f01942fb31ee2f30b926d0e4d2721b5f9220be3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08668",
    "kind": "arxiv",
    "version": 2
  }
}